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4050613536 = 253237012617
BaseRepresentation
bin1111000101101111…
…0111010100100000
3101110021221111011120
43301123313110200
531243424113121
61505534412240
7202243434624
oct36133672440
911407844146
104050613536
1117995139a2
12950661080
134c7263158
142a5d6b184
1518a921bc6
hexf16f7520

4050613536 has 96 divisors (see below), whose sum is σ = 11115232128. Its totient is φ = 1289164800.

The previous prime is 4050613499. The next prime is 4050613547. The reversal of 4050613536 is 6353160504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4050613497 and 4050613506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546500 + ... + 1549116.

It is an arithmetic number, because the mean of its divisors is an integer number (115783668).

Almost surely, 24050613536 is an apocalyptic number.

4050613536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050613536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557616064).

4050613536 is an abundant number, since it is smaller than the sum of its proper divisors (7064618592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4050613536 is a wasteful number, since it uses less digits than its factorization.

4050613536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 4050613536 is about 63644.4305183101. The cubic root of 4050613536 is about 1594.0683409798.

The spelling of 4050613536 in words is "four billion, fifty million, six hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 701 736 1104 1402 2103 2208 2617 2804 4206 5234 5608 7851 8412 10468 11216 15702 16123 16824 20936 22432 31404 32246 33648 41872 48369 60191 62808 64492 67296 83744 96738 120382 125616 128984 180573 193476 240764 251232 257968 361146 386952 481528 515936 722292 773904 963056 1444584 1547808 1834517 1926112 2889168 3669034 5503551 5778336 7338068 11007102 14676136 22014204 29352272 42193891 44028408 58704544 84387782 88056816 126581673 168775564 176113632 253163346 337551128 506326692 675102256 1012653384 1350204512 2025306768 4050613536